What is the interest on a loan of $200 if you borrow it for 24 months at a yearly interest rate of 9%?

Answer:

Step-by-step explanation:

Distributive property : a(b +c) = a*b + a*c

34 = 2 * 17

51 = 3 * 17

34 + 51 = (2*17) + (3*17)

            = 17* (2 + 3)

Answer:

x=50°

use the sine rule to find the missing angle "x"

Check the picture below.

let's find the angle θ, then we'll find the length of the arc whose angle is 2θ and has a radius of 10.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{6}}{\underset{hypotenuse}{10}} \implies \sin( \theta )= \cfrac{3}{5} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{3}{5} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{3}{5} \right)\implies \theta \approx 36.87^o \\\\[-0.35em] ~\dotfill\)

\(\textit{arc's length}\\\\ s = \cfrac{\alpha \pi r}{180} ~~ \begin{cases} r=radius\\ \alpha =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=10\\ \alpha \approx \stackrel{ 2\theta }{73.74} \end{cases}\implies s\approx \cfrac{(73.74)\pi (10)}{180}\implies s\approx 12.87~cm\)

\( \sf \blue{True✅}\)

Given,

\(f(x) = - x + 8 \: and \: f( - 4)\)

Solution:

\( f( x) = - ( - 4) + 8 \\ \\ = 4 + 8 \\ \\ = 12\)

Answer:

linear

Step-by-step explanation:

The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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If julie calculates the average number of cookies sold in february, she will be able to obtain informations from data.

Data is a collection of discrete values that convey information, describe quantity, quality, facts, statistics. Data is individual factual information recorded and used for analysis purposes. We have, Julie calculates the average number of cookies sold in month of february. On the basid of sales data she gathered the information of her sale and growth. Also, she has an idea about how much prodution is sufficient. Using the information collected from data can be used in increasing her business and analysis the growth rate. On this basis she will increase or decrease her production of cookies.

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Answer:

Step-by-step explanation:

This is a duplicate of one I have done for you

BF = 3*HF

BF = 3*6

BF = 18

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer:

the volume is 288 squared cm

Step-by-step explanation:

The compound CaS is calcium sulfide. The charge on the calcium ion (Ca) is +2, and the charge on the sulfide ion (S) is -2.

In calcium sulfide (CaS), calcium (Ca) is a metal that belongs to Group 2 of the periodic table, and sulfide (S) is a nonmetal from Group 16. Calcium has a 2+ charge (Ca^2+) since it tends to lose two electrons to achieve a stable electron configuration. Sulfide has a 2- charge (S^2-) because it gains two electrons to achieve a stable electron configuration.

Therefore, in CaS, the calcium ion (Ca^2+) has a charge of +2, and the sulfide ion (S^2-) has a charge of -2.

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Answer:

Can u explain make it clearer

Step-by-step explanation:

It's confusing

Answer:0.1= .75 Of an hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

"78% of P" looks like this in an algebraic expression: .78P

"117% of Q" looks like this: 1.17Q

"...is 23.4 more than [above]" looks like this: [above] + 23.4

Putting that all together in one equation, knowing that the word "is" means "equals":

.78P = 1.17Q + 23.4

From there, we will now use the fact that Q is 40% of P, which looks like this:

Q = .4P

Now, using that substitution:

.78P = 1.17(.4P) + 23.4 and

.78P = .468P + 23.4 and

.312P = 23.4 so

P = 75

Going back up to what Q is equal to, we will sub in the value of P and solve for Q:

Q = .4P and P = 75, therefore,

Q = .4(75) so

Q = 30

Answer: kindly check explanation and attached picture

Step-by-step explanation:

Given the following :

Charge rate depending on the length of time for which vehicles are parked :

If length of time is ≤ (less than equal to 1 hour) ; fee = $6.00

If length of time is greater than 1 hour and less than or equal to 2 hours (> 1 and ≤ 2 ) ; fee = $10.50

If length of time is > (greater than 2 hours) ; fee = $13.00

Kindly check attached picture for the function representation.

Answer: 4900

Step-by-step explanation:

The statement that describes the relationship between the successive terms in the sequence is - The common ratio is -2.0

"It is an arrangement of numbers in a particular order followed by some rule."

For given example,

We have been given a sequence.

2.4, –4.8, 9.6, –19.2

First we take the difference between each successive terms.

-4.8 - 2.4 = -7.2

9.6 - (-4.8) = 14.4

-19.2 - 9.6 = 28.8

We can observe the the difference between successive terms is not the same.

Now, we take the ratio between each successive terms.

\(\frac{-4.8}{2.4}=-2\\\\\frac{9.6}{-4.8}=-2\\\\ \frac{-19.2}{9.6}=-2\)

We can observe that the ratio between each successive terms is equal.

This means, the given sequence has common ratio -2.

Therefore, the statement that describes the relationship between the successive terms in the sequence is - The common ratio is -2.0

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Answer:Y=20

Step-by-step explanation:

growth

Answer: For problem a is 16 and problem b is 34 i wasn't sure which problem it was so i did both

Step-by-step explanation:

problem a                                                    problem b

(6²-4)/2                        or                              6²-4/2

     |                                                                      |

\(6^2=36\\\)                                                            \(6^2=36\)

36-4=32                                                         36-4/2

32/2=16                                                          36-2=34

   16                                                                    34

Answer:

Step-by-step explanation:

the bumble bee flutters it’s wings 3000 times faster

Knowing that the bumble be can do 7800 in one minute and the humming bird can do 80 in a second 1 minute is 80 seconds so if we do 80 times 60 we get 4800 which is less then the amount of flutters the bumble bee does by 3000 flutters

The number of years that the bones are, at the time they were discovered  is 7881 years

Atoms that make up radioactive elements have unstable nuclei that emit atomic radiation as a means of stabilizing them. Radiation causes radioactive atoms to change into another chemical element, which could either be stable or radioactive enough to undergo further decay.

fraction remaining = 0.5n

n= of half lives elapsed

n = ?

fraction remaining =( 1 - 0.612)

= 0.388

0.388 = 0.5n

n = 1.37

The number of years that the bones are, at the time they were discovered can be calculated as ;

1.37 x 5750 yrs = 7881 years

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complete question;

The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 66.2​% of their​ carbon-14.

The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 61.2% of their carbon-14. How old were the bones at the time they were discovered?

The sign before the blank is "+" (Example: +300). (b) The value of the portfolio with European put options increases as the stock price decreases, providing a protective benefit to the overall portfolio.

The sign before the blank is "+" (Example: +300).

(b) The value of the portfolio with European put options increases as the stock price decreases. The put options provide a protective benefit to the portfolio, as they allow the holder to sell the stock at a predetermined price (strike price).

When the stock price is below the strike price, the put options become valuable as they enable the investor to sell the stock at a higher price than the market value. However, if the stock price is above the strike price, the put options have no value and do not contribute to the portfolio's overall worth.

Therefore, the benefit of the put options is realized when the stock price is below the strike price, and it diminishes as the stock price rises above the strike price.

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Display ads sold on a cost per thousand impressions (CPM) basis often focus on reaching a large audience or maximizing brand exposure.

Cost per thousand impressions (CPM) is a common pricing model used in digital advertising, where advertisers pay for every one thousand times their ad is displayed to users.

In this model, the focus is on the number of impressions or views rather than the actual performance or engagement with the ad. As a result, display ads sold on a CPM basis often prioritize reaching a large audience and maximizing brand exposure.

By selecting a CPM pricing model, advertisers aim to increase their ad's visibility and generate brand awareness among a wide range of users.

They are interested in getting their message in front of as many people as possible, regardless of whether those users interact with the ad or take any specific action.

CPM-based display ads are commonly used for branding campaigns, where the primary goal is to create brand recognition, increase visibility, and establish a presence in the minds of potential customers.

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The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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Explanation:

The flat horizontal portion S is where the distance (y) does not increase or decrease. So Ted is stationary during this time frame.

In terms of speed, we would say speed = distance/time = (change in y)/(change in x). Note how this is the slope.

Rise = 0 because the horizontal line does not go up or down. The run is any positive number, though convention usually has Run = 1. Therefore, slope = rise/run = 0/1 = 0. All flat horizontal lines have a slope of 0 to indicate no upward or downward movement.

the linear regression equation that represents this set of data rounding all coefficients to the nearest tenth is ŷ = 0.23571X + 75.24762

Sum of X = 120

Sum of Y = 1157

Mean X = 8

Mean Y = 77.1333

Sum of squares  = 280

Sum of products (SP) = 66

Regression Equation = ŷ = bX + a

b  = 66/280 = 0.23571

a = 77.13 - (0.24*8) = 75.24762

ŷ = 0.23571X + 75.24762

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Answer:

If You have $18, how many $2 items can you purchase?

The word description "3 to the power of a + 4" should be written as 3^{a + 4}.

In Mathematics, an exponent is sometimes referred to as power and it can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as;

bⁿ

Where:

the variables b and n represent numerical values or an algebraic expression.

By applying the property of exponents based on the law of indices for powers, we have the following:

Expression = 3^{a + 4}.

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Complete Question:

What is 3 to the power of a+4?